Answer:
Step-by-step explanation:
Domain is the x values. The interval of x-values that the function encompasses are from 0 inclusive to 7 exclusive. In interval notation that is [0, 7). The range is the y values. The interval of y-values that the function encompasses are from what looks like -2 to 4. In interval notation that is [-2, 4]. The domain goes from the lowest x-value to the highest; the range goes from the lowest y-value to the highest.
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
Answer:
Step-by-step explanation:
Distance = 
Here X is -3
So,
Point Y = -3 + 6.5 = 3.5
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Ratio of men : women = 3 : 5
-
<u>Find total parts:</u>
3 + 5 = 8
-
<u>Find 1 part:</u>
5 parts = 140
1 part = 140 ÷ 5 = 28
-
<u>Find 8 parts (total):</u>
8 parts = 28 x 8 = 224
-
Answer: There are 224 employees
Answer:
Step-by-step explanation:
Suppose the base formula is y = x^2
You want to go two units left.
basically that is y = (x + 2)^2 just the opposite of what you might think it should be.
Where does the base function have a minimum? It's minimum is as x = 0 and y = 0
Where does y = (x + 2)^2 have it's minimum?
(-2,0)
conclusion. The base function has moved 2 units to the left.
